Week 1, Lesson 2 1. Warm up 2. Notes Quadratics 3. ICA Physics Rocket
|
|
- Buddy Burke
- 5 years ago
- Views:
Transcription
1 Do all functions follow patterns? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 1, Lesson 2 1. Warm up 2. Notes Quadratics 3. ICA Physics Rocket Standard Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: Match the linear functions to their graphs f(x) = 2x 1 g(x) = x + 3 h(x) = 2x +2 1
2 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Properties of Quadratics Quadratics 1. Any function that has a biggest exponent of 2 is called a quadratic 2. Any quadratic fits the form f(x) = ax 2 + bx + c (a cannot be 0) 3. All quadratics will always fit a "u" shape 4. All quadratic graphs are symmetrical Example 1 Use the t chart below to draw the graph of the quadratic given f(x) = x 2 4x + 2 x f(x) Example 2 Use the t chart below to draw the graph of the quadratic given g(x) = (x 2) x f(x) Summary: 2
3 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Quadratics Quadratics on a calc After graphing the quadratic, you can find x and y coordinates using G SOLVE Example 3 Use your calculator to complete the table below f(x) = 2x 2 4x + 6 x f(x) Example 4 The number of Cardinals fans (y) is dependent on the number of games they have played (x). y = (x 9) a) How many fans did they have after 5 games? b) How many fans did they have after 9 games? a) How many fans did they have after 17 games? Summary: 3
4 Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Physics Rocket Ms. Delp launches a model rocket with her physics class. They track the height (h) according to time (t) h(t) = 16t t t h a) How high was the rocket after 3 seconds? b) When is the rocket at 75 feet? c) When does the rocket reach its peak? d) How high is the rocket at its peak? e) How long does it take the rocket to reach the ground again? 4
5 a Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra 5
6 How do you find the main point of a quadratic? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 1, Lesson 3 1. Warm up 2. Notes Min/Max 3. ICA Matching Standard Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: Use a t chart to graph the quadratic f(x) = (x 4) x y
7 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Min/Max Minimum Maximum The most important (x,y) point to find in a quadratic is the minimum or maximum maximum minimum Finding min/max When a quadratic is written in f(x) = ax 2 + bx + c you can find the x coordinate using the following formula: Then, plug x into the formula to find y Walk through Find the min/max of the function g(x) = x 2 4x 5 a b c g(2) = 2 2 4(2) 5 g(2) = 9 (2, 9) On a calc: Graph it Shift, G SOLV, min/max Summary: 7
8 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Min/Max Minimum Maximum After finding the minimum or maximum, build the table around those points Pick a few points on the left side and a few points on the right side Example 1 Find the min/max of the quadratic, then graph it f(x) = 2x 2 8x + 2 x y Example 2 Find the min/max of the quadratic, then graph it f(x) = x 2 8x + 2 x y Summary: 8
9 vity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Matching Minimums and Maximums Match the function with the vertex (max/min) and also the graph ( 5, 1) (1, 3) ( 2, 5) (3, 4) 9
10 Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra 10
11 WHAT IS THE ESSENTIAL QUESTION? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 1, Lesson 4 1. Warm up 2. Notes Domain 3. ICA Standards 6.1 & Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: Find the vertex of the function f(x) = 2x 2 + 8x 2 11
12 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Domain Domain The set of values for which a function is defined The set of x values that ARE ALLOWED The set of x values that WORK and give an answer Written {x x } Pronounced "x such that x is " Domains of functions Write the domains of the functions drawn below {x x < 2 } {x x > 1 } {x x ε R } Domains of Quadratics Since you can plug any number into a quadratic, and since the graph of a quadratic extends forever, the domain of any quadratic function is x{x x ε R } Summary: 12
13 a Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra 13
14 Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra Practice Extra 14
15 Attachments W2L1.docx Project Survey.docx Project Survey.xlsx Project Questionnaire.docx Project Questionnaire.xlsx
When it is 80 degrees he will sell about 42 ice creams.
What are some of the ways Functions are represented? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 4, Lesson
More informationHow long would it take to escape from the pendulum?
Week 2, Lesson 1 1. Warm up 2. ICA The Pit & the Pendulum 3. ICA Discussion?s How long would it take to escape from the pendulum? Essential Question Essential Question Essential Question Essential Question
More informationWHAT IS THE ESSENTIAL QUESTION?
WHAT IS THE ESSENTIAL QUESTION? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 3, Lesson 1 1. Warm up 2. Notes
More informationEssential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question
Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 11, Lesson 1 1. Warm up 2. Notes Review 3. ICA QUIZ 57 Warm up
More informationWarm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up
How much can bubbling the test incorrectly affect you? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 12, Lesson
More informationStrawkets and Quadratics
Strawkets and Quadratics Summary In this activity, the students will develop a quadratic function for their rocket flight. Each student will construct a paper rocket that he/she will launch by blowing
More informationW6L1: Study Guide W6L2: Take Home Exam W6L3: Factoring Worksheet
Algebra 3 Honors MYP Week 6 45 47 49 W6L1: Study Guide W6L2: Take Home Exam W6L3: Factoring Worksheet Labor Day is a holiday in the United States that is dedicated to workers across the country. The intention
More informationQuadratic Word Problems
Quadratic Word Problems Normally, the graph is a maximum ( x 2 /opens down) because of the real life scenarios that create parabolas. The equation of the quadratic will be given. We will only be using
More informationEQ: GPE.4 How do I calculate distance, midpoint, and slope?
EQ: GPE.4 How do I calculate distance, midpoint, and slope? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 3,
More informationm r [B] mn n> 20r [C] mn n< 8r [D] mn n< 20r
Solve. 5. x = 7 0 6 7 5 4 5 [D] 7. x + x 9x 8 = 0, ±,, 9 [D] ±,. x+ 9 = x 0 5 5, 7 [D] 7 4. Solve the equation. = b 8 [D] 7 5. Solve: 5 x x =0 6, 4 4, 4 4, 5 [D], 4 4 6. Solve: 6+ n < 4 Solve. m r mn n>
More informationName: Analyzing Graphs of Quadratic Functions 1. Use the graph at the right to fill in the blanks for each point. a) (, 24) represents Point. b) (12, ) represents Point. c) (, ) represents Point F. d)
More informationHomework Helpers Sampler
Homework Helpers Sampler This sampler includes s for Algebra I, Lessons 1-3. To order a full-year set of s visit >>> http://eurmath.link/homework-helpers Published by the non-profit Great Minds. Copyright
More informationPhysics 2204 Worksheet 6.5: Graphical Analysis of Non- Uniform Motion D-T GRAPH OF NON-UNIFORM MOTION (ACCELERATING) :
Physics 2204 Worksheet 6.5: Graphical Analysis of Non- Uniform Motion D-T GRAPH OF NON-UNIFORM MOTION (ACCELERATING) : The d-t graph for uniformly Accelerated motion is definitely not the same as a d-t
More informationMS Algebra Concept Task Forming Quadratics. Mr. Deyo
MS Algebra Concept Task Forming Quadratics Mr. Deyo Learning Target By the end of the period, I will identify the parts of a quadratic curve and apply the properties of quadratic curves to solve problems.
More informationSection 7.6 Linear Programming
Section 7.6 Linear Programming Objective Functions in Linear Programming We will look at the important application of systems of linear inequalities. Such systems arise in linear programming, a method
More informationa. Sketch the path of the diver by plotting the vertex, y-intercept, and additional points as needed.
Algebra Applications of quadratic functions Name: 1. The path of a diver off a springboard is modeled by the function h( x) ( x 3) 3, where h is the height of the diver and x is the distance of the diver
More informationword problems.notebook May 27, 2016
Word Problems: When solving word problems you can use vertex form, factored form or standard form to create an algebraic model of the situation. Use the form that is most helpful for the context of the
More informationLesson 18: There Is Only One Line Passing Through a Given Point with a Given Slope
There Is Only One Line Passing Through a Given Point with a Given Slope Classwork Opening Exercise Examine each of the graphs and their equations. Identify the coordinates of the point where the line intersects
More informationTying Knots. Approximate time: 1-2 days depending on time spent on calculator instructions.
Tying Knots Objective: Students will find a linear model to fit data. Students will compare and interpret different slopes and intercepts in a context. Students will discuss domain and range: as discrete
More informationLesson 14: Modeling Relationships with a Line
Exploratory Activity: Line of Best Fit Revisited 1. Use the link http://illuminations.nctm.org/activity.aspx?id=4186 to explore how the line of best fit changes depending on your data set. A. Enter any
More information100-Meter Dash Olympic Winning Times: Will Women Be As Fast As Men?
100-Meter Dash Olympic Winning Times: Will Women Be As Fast As Men? The 100 Meter Dash has been an Olympic event since its very establishment in 1896(1928 for women). The reigning 100-meter Olympic champion
More informationCoimisiún na Scrúduithe Stáit State Examinations Commission. Junior Certificate Examination Mathematics
2018. S34 Coimisiún na Scrúduithe Stáit State Examinations Commission Junior Certificate Examination 2018 Mathematics Paper 1 Higher Level Friday 8 June Afternoon 2:00 to 4:30 300 marks Examination Number
More informationMath 4. Unit 1: Conic Sections Lesson 1.1: What Is a Conic Section?
Unit 1: Conic Sections Lesson 1.1: What Is a Conic Section? 1.1.1: Study - What is a Conic Section? Duration: 50 min 1.1.2: Quiz - What is a Conic Section? Duration: 25 min / 18 Lesson 1.2: Geometry of
More informationParametric Ball Toss TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System
Math Objectives Students will be able to use parametric equations to represent the height of a ball as a function of time as well as the path of a ball that has been thrown straight up. Students will be
More information2012 P.A.P.A-2 FREE-RESPONSE QUESTIONS (Calc OK)
1 P.A.P.A- FREE-RESPONSE QUESTIONS (Calc OK) 1) At the Jackson County Fair held each October, there are many games and attractions which launch things into the air. One game is a football toss where the
More informationEQ: GPE.7 How do I find the perimeter and area of polygons?
EQ: GPE.7 How do I find the perimeter and area of polygons? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 14,
More informationChapter 7: Quadratics
Chapter 7: Quadratics Notes 7.8 Quadratic Modeling Name: Set up a quadratic equation to model the scenario and use ANY method to solve: Vertex Form to find max/min or symmetry Factoring to find zeros/solutions
More informationUniversity of Colorado-Boulder MATH 1300 Homework 1
Turn in the following problems: 1. Consider the following mathematical statements. Determine if the statements are always true, sometimes true, or never true. (a) (x + 2) 4 = x 4 + 16 (b) x 4 + 8x 2 +
More informationGraphing the Quadratic Functions
Graphing the Quadratic Functions Class Level: 10 th Grade Objectives: Fonksiyonun katsayılarındaki değişimin fonksiyonun grafiği üzerine etkisi bilgi ve iletişim teknolojilerinden yararlanılarak incelenir.
More informationAlgebra I: A Fresh Approach. By Christy Walters
Algebra I: A Fresh Approach By Christy Walters 2005 A+ Education Services All rights reserved. No part of this publication may be reproduced, distributed, stored in a retrieval system, or transmitted,
More informationPolynomial functions have graphs that are smooth and continuous. c) Use your knowledge of quadratic functions to sketch the graph.
Math 165 4.1 Polyomial fuctios I class work Polyomial fuctios have graphs that are smooth ad cotiuous 1) For the fuctio: y 2 = x 9. a) Write the fuctio i factored form. b) Fid the x-itercepts or real zeros
More informationGrade: 8. Author(s): Hope Phillips
Title: Tying Knots: An Introductory Activity for Writing Equations in Slope-Intercept Form Prior Knowledge Needed: Grade: 8 Author(s): Hope Phillips BIG Idea: Linear Equations how to analyze data from
More informationUnit 3 Day 7. Exponential Growth & Decay
Unit 3 Day 7 Exponential Growth & Decay 1 Warm Up - Zombies SCENARIO 1 A pack of zombies is growing exponentially! After 1 hour, the original zombie infected 5 people, and those 5 zombies went on to infect
More informationRelations & Functions Practice Test
Relations & Functions Practice Test 1. Consider the relation represented b this graph. Represent the relation as a set of ordered pairs. Distance (km) 11 1 9 8 7 6 5 3 1 Distances Jogged in a Da Josh Koko
More informationProject 2 Evaluation 32 Second Year Algebra 1 (MTHH )
Name I.D. Number Project 2 Evaluation 32 Second Year Algebra 1 (MTHH 039 059) Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your
More informationECO-TOURISM Whale Watching
ECO-TOURISM Whale Watching Number of Whales seen in Bay Number of Days in Season 0 5 1 9 2 8 3 6 4 5 5 5 6 8 7 12 8 15 9 13 10 4 The peak Whale Watching Season in Hervey Bay is from August to October.
More informationWeek 1, Lesson Plan for Success 2. Interactive Notebook 3. HW: Factoring Worksheet. Alg 4 Questionaire.2.docx.
Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 1, Lesson 1 1. Plan for Success
More information3. Answer the following questions with your group. How high do you think he was at the top of the stairs? How did you estimate that elevation?
Classwork Exploratory Challenge 1. Watch the first 1:08 minutes of the video below and describe in words the motion of the man. Elevation vs. Time #2 [http://www.mrmeyer.com/graphingstories1/graphingstories2.mov.
More information100-Meter Dash Olympic Winning Times: Will Women Be As Fast As Men?
100-Meter Dash Olympic Winning Times: Will Women Be As Fast As Men? The 100 Meter Dash has been an Olympic event since its very establishment in 1896(1928 for women). The reigning 100-meter Olympic champion
More informationAlgebra I: A Fresh Approach. By Christy Walters
Algebra I: A Fresh Approach By Christy Walters 2016 A+ Education Services All rights reserved. No part of this publication may be reproduced, distributed, stored in a retrieval system, or transmitted,
More informationMHF 4U Unit 2 Rational Functions Outline
MHF 4U Unit Rational Functions Outline Day 1 Lesson Title Specific Epectations Rational Functions and Their Essential Characteristics C.1,.,.3 (Lesson Included) Rational Functions and Their Essential Characteristics
More informationFuel for the Fire. Name Student Activity. Open the TI-Nspire document Fuel for the Fire.tns.
Open the TI-Nspire document Fuel for the Fire.tns. You ve probably heard about Neil Armstrong and his first footstep on the moon but have you ever considered the fuel it took to get there? Fueling NASA
More informationUSING A CALCULATOR TO INVESTIGATE WHETHER A LINEAR, QUADRATIC OR EXPONENTIAL FUNCTION BEST FITS A SET OF BIVARIATE NUMERICAL DATA
USING A CALCULATOR TO INVESTIGATE WHETHER A LINEAR, QUADRATIC OR EXPONENTIAL FUNCTION BEST FITS A SET OF BIVARIATE NUMERICAL DATA Jackie Scheiber RADMASTE, Wits University Jackie.scheiber@wits.ac.za Target
More information[A] 7 4 [B] 7 45 [C] 7 14 [D] [1] p. [3] 4. Solve. 2 x = 8 [B] 1 3
Simplif. Epress each answer with positive eponents. 9 5 1. 7 7. F 9 p I G J HG q KJ 8 7 4 [B] 7 45 [C] 7 14 [D] 49 14 [1] 7 7 p p [B] [C] 16 q q 17 p [D] p + q q 7 16. Evaluate. 7 9 [B] 1 9 [C] 1 [D] []
More informationWeek 11, Lesson 1 1. Warm Up 2. Notes Sine, Cosine, Tangent 3. ICA Triangles
Week 11, Lesson 1 1. Warm Up 2. Notes Sine, Cosine, Tangent 3. ICA Triangles HOW CAN WE FIND THE SIDE LENGTHS OF RIGHT TRIANGLES? Essential Question Essential Question Essential Question Essential Question
More informationVertex Form Applications
Vertex Form Applications Grade: 11 Subject: Pre- Calculus 11 Unit: Quadratics Driving Question: Bill kicks a football in Tom s direction. The football follows a parabolic path. Tom is unaware that he may
More informationMathematics Assessment Program. Middle School Mathematics. Time Allowed Section A - 40 minutes; Section B - 40 minutes
Mathematics Assessment Program MS - 3 Middle School Mathematics Time Allowed Section A - 40 minutes; Section B - 40 minutes These tasks give you a chance to show what you know and how you reason, and to
More informationThere s Math in March Madness
There s Math in March Madness Using Bracketology and the ti-nspire to Explore Functions Jennifer Axley Blount County Schools Maryville, TN Brief History of NCAA College Basketball Championship Tournament
More informationIntroduction to solving acceleration problems
Introduction to solving acceleration problems We learned previously that speed is a function of distance and time: s = d t We also learned that velocity is a nearly identical formula. The difference is
More information3. Answer the following questions with your group. How high do you think he was at the top of the stairs? How did you estimate that elevation?
J Hart Interactive Algebra 1 Classwork Exploratory Challenge 1. Watch the first 1:08 minutes of the video below and describe in words the motion of the man. Elevation vs. Time #2 [http://www.mrmeyer.com/graphingstories1/graphingstories2.mov.
More informationChapter Test Form B 11
CHAPTER TEST FORM B 11 PDF - Are you looking for chapter test form b 11 Books? Now, you will be happy that at this time chapter test form b 11 PDF is available at our online library. With our complete
More informationThe Bruins I.C.E. School
The Bruins I.C.E. School Lesson 1: Area and Volume of a Cylinder Lesson 2: Using and Applying the Pythagorean Theorem Lesson 3: Investigating patterns of association in bivariate data Lesson 4: Investigating
More informationRatio & Rate Reasoning PRESENTED BY MR. LAWS 6 TH GRADE MATH
Ratio & Rate Reasoning PRESENTED BY MR. LAWS 6 TH GRADE MATH JCMS Common Core State Standard (CCSS) 6.RP.3 -Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning
More informationMotion Graphing Packet
Name: Motion Graphing Packet This packet covers two types of motion graphs Distance vs. Time Graphs Velocity vs. Time Graphs Describing the motion of an object is occasionally hard to do with words. Sometimes
More informationDescribing a journey made by an object is very boring if you just use words. As with much of science, graphs are more revealing.
Distance vs. Time Describing a journey made by an object is very boring if you just use words. As with much of science, graphs are more revealing. Plotting distance against time can tell you a lot about
More information1. Scuba diver a scuba diver dives straight down into the water quantities: the depth of the dive the water pressure on the diver
HW - Functions and Rates name in #1-10, several situations are given below. for each, answer the following questions: a) does one quantity depend on another? if so, how? b) if the answer to (a) is yes,
More informationEQ: How do I use trigonometry to find missing side lengths of right triangles?
EQ: How do I use trigonometry to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential
More informationDiscussion Session 3 2D Relative Motion Week 04
PHYS 100 Discussion Session 3 2D Relative Motion Week 04 The Plan This week is about two main ideas, practicing vector addition and understanding relative motion. You ll accomplish both by looking at two
More information2 Motion BIGIDEA Write the Big Idea for this chapter.
2 Motion BIGIDEA Write the Big Idea for this chapter. Use the What I Know column to list the things you know about the Big Idea. Then list the questions you have about the Big Idea in the What I Want to
More informationMATH IN ACTION TABLE OF CONTENTS. Lesson 1.1 On Your Mark, Get Set, Go! Page: 10 Usain Bolt: The fastest man on the planet
MATH IN ACTION TABLE OF CONTENTS LESSON 1 WORLD RECORD SPEEDS LINEAR FUNCTIONS WITH PROPORTIONAL RELATIONSHIPS Focus on: SLOPE Lesson 1.1 On Your Mark, Get Set, Go! Page: 10 Usain Bolt: The fastest man
More informationEQ: SRT.8 How do I use trig to find missing side lengths of right triangles?
EQ: SRT.8 How do I use trig to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential
More informationHo olele lupe. 1 Introduction. 2 Grade Levels and Topics
1 Introduction Ho olele lupe The Hawaiian demigod Maui is given credit for the ho olele lupe (Hawaiian kite) invention. Oral traditions as well as the creation chants of Kaelikuahulu suggest that ho olele
More informationFUNCTIONAL SKILLS MATHEMATICS (level 1)
FUNCTIONAL SKILLS MATHEMATICS (level 1) Detailed Marking Instructions Version: May 2011 Question Marking Scheme Illustrations of evidence No Give for each for awarding a mark 1 (a) Ans: 675 represent:
More informationLesson 6: The Distance Between Two Rational Numbers
Classwork Exercise 1 Use the number line to answer each of the following. Person A What is the distance between 4 and 5? Person B What is the distance between 5 and 4? What is the distance between 5 and
More informationSpirit Lesson 3 Robot Wheelies Lesson Outline Content: Context: Activity Description:
Spirit Lesson 3 Lesson Title: Robot Wheelies Draft Date: July 13, 2008 1 st Author: Deb Hipnar 2 nd Author: Rachel Neurath Algebra Topic: Formulas: Circumference, Distance Grade Level: Upper Elementary,
More informationGraphing Stories Writing Equations
Exploratory Activity Consider the story: Maya and Earl live at opposite ends of the hallway in their apartment building. Their doors are 50 ft. apart. Each starts at his or her own door and walks at a
More informationStats in Algebra, Oh My!
Stats in Algebra, Oh My! The Curtis Center s Mathematics and Teaching Conference March 7, 2015 Kyle Atkin Kern High School District kyle_atkin@kernhigh.org Standards for Mathematical Practice 1. Make sense
More informationWeek 8, Lesson 1 1. Warm up 2. ICA Scavanger Hunt 3. Notes Arithmetic Series
CAN WE ADD AN ARITHMETIC SEQUENCE? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 8, Lesson 1 1. Warm up 2. ICA
More informationLesson 2 Pre-Visit Batting Average Part 1: Fractions
Lesson 2 Pre-Visit Batting Average Part 1: Fractions Objective: Students will be able to: Understand that fractions represent parts of a whole. Set up fractions representing batting averages and other
More informationAlgebra Date Lesson Independent Work Computer Tuesday, Introduction (whole class) Problem with Dice
Tuesday, Introduction (whole class) Problem with Dice Critical Thinking Puzzles September 3 Station expectations Count the Squares Math Riddles Wednesday, Computer expectations (whole class) Tangrams Read
More informationTeaching Faster and Faster!
Teaching Faster and Faster! Skills: Solving problems with data in decimal form and in a double-line graph Students solve problems based on Olympic event data given in a table and in a line graph. Tasks
More informationBUILD AND TEST A WIND TUNNEL
LAUNCHING INTO AVIATION 9 2018 Aircraft Owners and Pilots Association. All Rights Reserved. UNIT 2 SECTION D LESSON 2 PRESENTATION BUILD AND TEST A WIND TUNNEL LEARNING OBJECTIVES By the end of this lesson,
More informationCHAPTER 6 PROJECTILE MOTION
CHAPTER 6 PROJECTILE MOTION 1 Basic principle of analyzing projecting motion Independency of vertical and horizontal motion 2 A simple case: Horizontally projected motion An angry bird is fired horizontally
More informationFF Chartwell User Manual. FontFont.com
FF Chartwell User Manual FontFont.com 9+41+12+1+2+2+16+2+7+4+2+1+1+E 46+20+11+9+1+3+2+2+3+1+1+1+c 14+30+1+7+17+5+4+10+2+1+4+1+1+1+1+1+o 43+ +1+1+1+1+1+1+1+2+3+4+14+4+3+20O 6+18+32+9+11+4+6+4+5+2+1+1+1+Q
More informationRATE OF CHANGE AND INSTANTANEOUS VELOCITY
RATE OF CHANGE AND INSTANTANEOUS VELOCITY Section 2.2A Calculus AP/Dual, Revised 2017 viet.dang@humbleisd.net 7/30/2018 1:34 AM 2.2A: Rates of Change 1 AVERAGE VELOCITY A. Rates of change play a role whenever
More informationMay the best (statistically chosen) team win! Danielle Pope
May the best (statistically chosen) team win! Danielle Pope The Burning Question: What does the Pythagorean Expectation tell us, and how can the Pythagorean Expectation be improved? Pythagorean Expectation
More informationLesson 2: Wave Speed and Wind Height on Lake Superior
ED 5661 Mathematics & Navigation Teacher Institute Tiffany Scullion Summer 2011 Lesson 2: Wave Speed and Wind Height on Lake Superior Target Audience: Intro to Algebra (grades 9-12) Time Required: 1 class
More informationAnswers for the lesson Graph Simple Rational Functions
LESSON 5. Answers for the lesson Graph Simple Rational Functions Skill Practice. range; domain. No; the denominator is an eponential epression, not a polnomial. 3. 5. aes than the graph of 5 and is located
More informationBoyle s Law: Pressure-Volume Relationship in Gases. PRELAB QUESTIONS (Answer on your own notebook paper)
Boyle s Law: Pressure-Volume Relationship in Gases Experiment 18 GRADE LEVEL INDICATORS Construct, interpret and apply physical and conceptual models that represent or explain systems, objects, events
More informationWarm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up
Solve applied problems using the attributes of similar triangles. Solve problems using ratio and proportions. Investigate the fundamental concepts behind trigonometry: three basic trig functions and how
More information1. The data below gives the eye colors of 20 students in a Statistics class. Make a frequency table for the data.
1. The data below gives the eye colors of 20 students in a Statistics class. Make a frequency table for the data. Green Blue Brown Blue Blue Brown Blue Blue Blue Green Blue Brown Blue Brown Brown Blue
More informationBall Toss. Vernier Motion Detector
Experiment 6 When a juggler tosses a ball straight upward, the ball slows down until it reaches the top of its path. The ball then speeds up on its way back down. A graph of its velocity vs. time would
More informationTotal 70
Math 120 - Spring 2011 Final Exam June 4, 2011 Name: Student ID no. : Signature: Section: 1 10 2 10 3 10 4 10 5 10 6 10 7 10 Total 70 Complete all questions. Show all work for full credit. You may use
More informationThe Rabbit Pen Problem Created by: Angeli Tempel George Mason University, COMPLETE Math Spring 2016
The Rabbit Pen Problem Created by: Angeli Tempel George Mason University, COMPLETE Math Spring 2016 The Task Ms. Brown s class will raise rabbits for their spring science fair. They have 24 feet of fencing
More informationSTAAR Practice Test #1. 2 (2B) What is the equation in standard form of the line that
STAAR Practice Test #1 TEKS 2 (Linear Equations) 1. (2B) The population of Webb County, Texas, from the year 2000 through 2010 is shown in the graph. If the trend shown in the graph continues, what will
More informationCHAPTER 2 Modeling Distributions of Data
CHAPTER 2 Modeling Distributions of Data 2.2 Density Curves and Normal Distributions The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers Density Curves
More informationThe High School Math Project Focus on Algebra. Bottles and Divers. (Rates of Change)
The High School Math Project Focus on Algebra Bottles and Divers (Rates of Change) Objective Students calculate the rate of change between two points on a curve by determining the slope of the line joining
More informationUnit 2 Day 4 Notes Law of Sines
AFM Unit 2 Day 4 Notes Law of Sines Name Date Introduction: When you see the triangle below on the left and someone asks you to find the value of x, you immediately know how to proceed. You call upon your
More informationEQ: G.CO.4 How do I reflect over parallel and perpendicular lines?
EQ: G.CO.4 How do I reflect over parallel and perpendicular lines? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week
More informationCorrected Items) Pg. 2: MSA 1.1 Walking Marathons. Pg. 4-5: MSA 1.2 Walking Rates
Moving Straight Ahead: Linear Relationships Name: Per: Investigation 1: Walking Rates Standards: 7.RP.A.2b: Identify the constant of proportionality in proportional relationships. 7.RP.A.2c: Represent
More informationBe sure students get all the combinations that add to , 1+9, 2+8, 3+7, 4+6, 5+5, 6+4, 7+3, 8+2, 9+1, 10+0
Lesson: Ten Lap Challenge Grades: K-1 Skills: Ways to make 10, number sense Time: 20 minutes What to do: Tell students they have two days to run ten laps in the gym. Have them use the worksheet on the
More informationLesson 4: Describing the Center of a Distribution
: Describing the Center of a Distribution In previous work with data distributions, you learned how to derive the mean and the median (the center) of a data distribution. In this lesson, we ll compare
More informationCandidate Number. General Certificate of Secondary Education Foundation Tier January 2013
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Foundation Tier January 2013 Pages 3 4 5 Mark Mathematics
More informationFriday 13 June 2014 Morning
H Friday 13 June 2014 Morning GCSE APPLICATIONS OF MATHEMATICS A382/02 Applications of Mathematics 2 (Higher Tier) *3053050410* Candidates answer on the Question Paper. OCR supplied materials: None Other
More informationCHANGES IN FORCE AND MOTION
reflect CRACK! That s the sound of a bat hitting a baseball. The ball fl ies through the air and lands over the fence for a home run. The motion of a batted ball seems simple enough. Yet, many forces act
More informationGeneral Certificate of Secondary Education Foundation Tier
Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Pages 3 Mark General Certificate of Secondary Education Foundation Tier 4 5 6 7 Mathematics (Linear) B Paper 2
More informationComputationally Efficient Determination of Long Term Extreme Out-of-Plane Loads for Offshore Turbines
Computationally Efficient Determination of Long Term Extreme Out-of-Plane Loads for Offshore Turbines Anand Natarajan Senior Scientist Wind Energy Department, Risø DTU Denmark Introduction IEC 61400-1
More informationBicycle Rental Costs straight lines on a graph are called
1 Walking Rates In Variables and Patterns, you read about a bicycle touring business. You used tables, graphs, and equations to represent patterns relating variables such as cost, income, and profit. You
More informationGraphical Antiderivatives
Graphical Antiderivatives STUDENT BOOKLET f(x) f(b) f(c) d e b c x f(e) f(d) Gradient graph of track Gradient of track 1000 2000 3000 4000 5000 x By Caroline Yoon, Tommy Dreyfus, Tessa Miskell and Mike
More informationFigure 1. The distance the train travels between A and B is not the same as the displacement of the train.
THE DISTANCE-TIME RELATIONSHIP Q1. A train travels from town A to town B. Figure 1 shows the route taken by the train. Figure 1 has been drawn to scale. Figure 1 (a) The distance the train travels between
More information